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Finding the Fourth Proportional to 667,269.42, 920,743.38 and 380,772.42

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Solution

The fourth proportional to 667,269.42, 920,743.38 and 380,772.42 is: 525,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,269.42 : 920,743.38 = 380,772.42 : x
  2. Step 2: Convert to fraction form
    667,269.42/920,743.38 = 380,772.42/x
  3. Step 3: Cross multiply
    667,269.42x = 920,743.38 × 380,772.42
  4. Step 4: Simplify right side
    667,269.42x = 350,593,685,001.58
  5. Step 5: Solve for x
    x = 350,593,685,001.58/667,269.42
  6. Step 6: Final answer
    x = 525,415.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.